1823535436800 has 2376 divisors, whose sum is σ = 8125416037312. Its totient is φ = 352950681600.

The previous prime is 1823535436763. The next prime is 1823535436819. The reversal of 1823535436800 is 86345353281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1823535436800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18799334352 + ... + 18799334448.

Almost surely, 2^{1823535436800} is an apocalyptic number.

1823535436800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1823535436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062708018656).

1823535436800 is an abundant number, since it is smaller than the sum of its proper divisors (6301880600512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1823535436800 is a wasteful number, since it uses less digits than its factorization.

1823535436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 1823535436800 in words is "one trillion, eight hundred twenty-three billion, five hundred thirty-five million, four hundred thirty-six thousand, eight hundred".